A museum commemorating the world’s most famous Holocaust victim is planning to move across the street from the proposed Ground Zero mosque, The Post has learned.

The nonprofit Anne Frank Center USA, a partner of the Anne Frank Museum in Amsterdam, offers educational programs about the Holocaust and the history of World War II. The group is poised to sign a lease in the 20-floor, glass-and-steel tower at 100 Church St., sources involved in the negotiations confirmed.

The windows of the 1 million- square-foot office tower overlook Park 51, the planned 16-story, 125,000-square-foot Muslim community center and mosque at 45 Park Place, two blocks from Ground Zero.

The museum, which currently rents loft space at 38 Crosby St. in SoHo, took out ads last year seeking a larger home in order to re-create the “secret annex” where the doomed Jewish teen wrote her famous diary while hiding from the Nazis with her family in Amsterdam between 1942 and 1944.

The move would be more evidence that lower Manhattan is becoming a Mecca for religious and cultural groups of all stripes. There are already more than 20 houses of worship below Canal Street and 13 museums south of Chambers Street, according to the Downtown Alliance. A nondenominational Christian church recently opened in 7 World Trade Center.

“It’s appropriate to have a mix of diverse organizations as a part of the lower Manhattan community,” said Julie Menin, chairwoman of Community Board 1. “We want it to reflect the melting pot that is America.”

Board members at the Anne Frank Center said they harbored no concerns about their odd juxtaposition with the mosque, whose proximity to the 9/11 site has sparked outrage.

“We’ve been working very hard to find a new location that will be more accessible to our exhibits,” said board member Hyman Enzer. “I like the idea of the new location.”

Board member Sam Fredman said, “I don’t know that the mosque was or would be a factor of any kind.”

In January, the new imam of Park 51, Abdallah Adhami, was fired after it was discovered that he preached that homosexuals were abused as children and that people who leave Islam should be jailed. The first imam, Feisal Abdul Rauf, stepped down after clashing with developer Sharif El-Gamal.

The Anne Frank Center is in negotiations with SL Green Realty Corp. to rent 2,500 square feet of ground-floor space, according to Steven Durels, SL Green’s director of leasing for the building. Asking rent is $50 a square foot, which would be $125,000 a month for the exhibition center.

“We’re in advanced negotiations with them and, hopefully, we’ll sign a deal in the next few weeks,” Durels said. “We think the Anne Frank Center is a good use for the building.”